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Title of Journal: Adv Comput Math

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Abbravation: Advances in Computational Mathematics

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Springer US

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10.1002/chin.198946066

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1572-9044

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Emphasis Type="Italic"L/EmphasisSuperscript2

Authors: Junliang Lv Yonghai Li
Publish Date: 2011/09/17
Volume: 37, Issue: 3, Pages: 393-416
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Abstract

This paper is concerned with the finite volume element methods on quadrilateral mesh for secondorder elliptic equation with variable coefficients An error estimate in L 2 norm is shown on the quadrilateral meshes consisting of h 2parallelograms Superconvergence of numerical solution is also derived in an average gradient norm on h 2uniform quadrilateral meshes Numerical examples confirm our theoretical conclusionsSupported by the ‘985’ program of Jilin University the Basic Research Foundation of Jilin University the Young Fund of School of Mathematics at Jilin University National Natural Science Foundation of China no 10971082 and the NSAF of China no 11076014


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